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Single- and multiple-degree-of-freedom vibration problems, using matrix formulation and normal mode superposition methods.
The matrix formulation and dynamical maps technique is used.
System simulation is also provided in this paper to demonstrate the integration between matrix formulation and time matrices.
The first approach uses a transfer matrix formulation and Furstenberg's theorem on asymptotic properties of products of random matrices.
The technique introduced is based on a new Jones matrix formulation, and real time spectral output simulations for rapid convergence of design parameters.
Thus, it has been recommended that the linear boundary treatment be used, as it is simpler, gives rise to a symmetric matrix formulation and has uniform accuracy.
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Numerical linear algebra algorithms use the inherent elegance of matrix formulations and are usually implemented using C/C++ floating point representation.
A transfer-matrix (T-matrix) formulation and coupled mode theory were used to simulate the reflected spectra of metal-coated FBG sensors for the evaluated strain profile.
Based on the Galerkin method, a matrix formulation is derived and the Newmark integration scheme is used for the evaluation of the pressure during the earthquake.
The contact Hamiltonian functions generating the dynamical behaviour are discussed with respect to two alternative formalisms used for describing coupled sets of reversible and irreversible processes, namely the GENERIC formulation and the Matrix formulation.
Theoretical expressions of the reflection and transmission coefficients were obtained by using a transfer matrix formulation for the plate and for the flexibly connected beam.
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